Spectral Radius, Closed Walks, and Infectious Disease Control: Introducing Target Reproduction Numbers
报告人:帅智圣
报告地点:数学与统计学院615室
报告时间:2014年05月16日星期五15:30
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报告摘要:
A new quantity called the target reproduction number is defined to measure control strategies for infectious diseases with multiple host types such as waterborne, vector-borne and zoonotic diseases. The target reproduction number includes as a special case and extends the type reproduction number to allow disease control strategies that target contacts between host types. Relations involving closed walks and cycles in a weighted digraph are used to derive new expressions for target reproduction numbers. Several disease models in the literature and new cholera models are used to illustrate the applications of the target reproduction number.
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